33013141214020 has 192 divisors, whose sum is σ = 76494378240000. Its totient is φ = 11868595200000.

The previous prime is 33013141213963. The next prime is 33013141214063. The reversal of 33013141214020 is 2041214131033.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4933958875 + ... + 4933965565.

It is an arithmetic number, because the mean of its divisors is an integer number (398408220000).

Almost surely, 2^{33013141214020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33013141214020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38247189120000).

33013141214020 is an abundant number, since it is smaller than the sum of its proper divisors (43481237025980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33013141214020 is a wasteful number, since it uses less digits than its factorization.

33013141214020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7610 (or 7608 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 33013141214020 its reverse (2041214131033), we get a palindrome (35054355345053).

The spelling of 33013141214020 in words is "thirty-three trillion, thirteen billion, one hundred forty-one million, two hundred fourteen thousand, twenty".